Question

Which equation represents a line having slope 5/2 and y-intercept (0, -4)

1. y=5/2x-4
2. y=-5/2x+4
3.y=4x-5/2
4. y=-4x+5/2

Answer 1

Answer:

Step-by-step explanation:

Which equation models the linear relationship in the table below?

image

A.

y

=

−

3

x

−

2

B.

y

=

−

3

x

+

22

C.

y

=

3

x

−

2

Answer 2

Answer:

The equation of the line is $y=\frac{5}{2} x -4$

Step-by-step explanation:

Given the slope of a line, $m= \frac{5}{2}$

y-intercept is $(0, -4)$

Since the y intercept is (0, -4), it is of the form (0, b), so $b= -4$

The slope intercept equation is the general equation of a straight line connecting its slope and the point of intersection with the y-axis.

And is written as $y = mx + b$, where m is the slope, b is the y-intercept and x & y represents the respective coordinates.

Substituting the given values,

the equation of the line is

$y = \frac{5}{2}x + (-4)$

$\implies y=\frac{5}{2} x -4$

Since the standard form does not allow fractional values,

$\implies 2y=5 x -8\implies 5 x-2y =8$

Therefore, the standard form of equation of a line is $5x-2y=8$.

In the options only the substituted form is given, so correct answer is option 1.